Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

270×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.3b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

52.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series164.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- z y) (+ (- t z) 1.0))
106.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: 3 (536.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.3b	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
32×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
14×	`distribute-lft-out`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow` `difference-of-squares`

Counts

3 → 105

Calls

3 calls:

43.0ms	(/ 1 (+ (- t z) 1.0))
104.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

series196.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1 (+ (- t z) 1.0))
51.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
101.0ms	(fma a (* (- z y) (/ 1 (+ (- t z) 1.0))) x)

simplify2.1s

Counts

114 → 114

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	156	1489
1	382	1239
2	1158	1109
3	4018	1104
done	5000	1103

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

150.0ms	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
18.0ms	(cbrt (+ (- t z) 1.0))
18.0ms	(cbrt (+ (- t z) 1.0))
22.0ms	(cbrt (+ (- t z) 1.0))

series525.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
124.0ms	(cbrt (+ (- t z) 1.0))
133.0ms	(cbrt (+ (- t z) 1.0))
134.0ms	(cbrt (+ (- t z) 1.0))

simplify1.5s

Counts

125 → 125

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	134	2049
1	295	1877
2	775	1771
3	2053	1535
done	5000	1502

prune482.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

44.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
5.0ms	(cbrt (- z y))

series754.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
189.0ms	(cbrt (- z y))
198.0ms	(cbrt (- z y))
194.0ms	(cbrt (- z y))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1435	1156
4	3932	1116
done	5000	1112

prune469.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample627.0ms

Algorithm

intervals

Results

268.0ms	8478×	body	80	valid
0.0ms	1×	body	320	valid